META-LEVEL SHORT-DEPTH QUANTUM COMPUTATION OF K-EIGENPAIRS

Techniques and a system to facilitate meta-level quantum computation are provided. In one example, a system includes a quantum processor and a classical processor. The quantum processor can perform an expectation computation process to compute an expected value of a deflated operator and a quantum state associated with a quantum circuit description. The classical processor can execute computer executable components stored in a memory, where the computer executable components comprise a meta-level variational optimization component. The meta-level variational optimization component can perform a meta-level optimization process associated with a k-eigenvalue decomposition process to iteratively determine an inflation parameter and a variational parameterization for an eigenpair based on samples of the expectation computation process.